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Finding the Third Proportional to 163,604 and 346,981

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Solution

The third proportional to 163,604 and 346,981 is: 735,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,604 : 346,981 = 346,981 : x
  2. Step 2: Convert to fraction form
    163,604/346,981 = 346,981/x
  3. Step 3: Cross multiply
    163,604x = 346,981 × 346,981
  4. Step 4: Simplify right side
    163,604x = 120,395,814,361
  5. Step 5: Solve for x
    x = 120,395,814,361/163,604
  6. Step 6: Final answer
    x = 735,897.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.